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Finding the Fourth Proportional to 31,043.87, 42,840.72 and 16,896.86

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Solution

The fourth proportional to 31,043.87, 42,840.72 and 16,896.86 is: 23,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.87 : 42,840.72 = 16,896.86 : x
  2. Step 2: Convert to fraction form
    31,043.87/42,840.72 = 16,896.86/x
  3. Step 3: Cross multiply
    31,043.87x = 42,840.72 × 16,896.86
  4. Step 4: Simplify right side
    31,043.87x = 723,873,433.94
  5. Step 5: Solve for x
    x = 723,873,433.94/31,043.87
  6. Step 6: Final answer
    x = 23,317.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.